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Finding the Third Proportional to 137,464 and 291,212

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Solution

The third proportional to 137,464 and 291,212 is: 616,921.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,464 : 291,212 = 291,212 : x
  2. Step 2: Convert to fraction form
    137,464/291,212 = 291,212/x
  3. Step 3: Cross multiply
    137,464x = 291,212 × 291,212
  4. Step 4: Simplify right side
    137,464x = 84,804,428,944
  5. Step 5: Solve for x
    x = 84,804,428,944/137,464
  6. Step 6: Final answer
    x = 616,921.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.